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What is the range of numbers that can be encoded in 4 bits using 2s complement notation?
Using 4 bits the signed range of numbers is -8 to 7. When working with signed numbers one bit is the sign bit, thus with 4 bits this leaves 3 bits for the value. With 3 bits there are 8 possible values, which when using 2s complement have ranges: for non-negative numbers these are 0 to 7; for negative numbers these are -1 to -8. Thus the range for signed 4 bit numbers is -8 to 7.
In how many dimensions can form be represented?
3
How many binary bits are needed to represent decimal number 231?
At least 8 bits are needed to represent the number 231. 231 ÷ 2 = 115 r 1 115 ÷ 2 = 57 r 1 57 ÷ 2 = 28 r 1 28 ÷ 2 = 14 r 0 14 ÷ 2 = 7 r 0 7 ÷ 2 = 3 r 1 3 ÷ 2 = 1 r 1 1 ÷ 2 = 0 r 1 → 231 is 1110 0111 in binary and has 8 binary digits. Thus 231 can be represented in 8 bits, but if more are provided, eg 16, it can still be represented (in 16 bits it would be 0000 0000 1110 0111, unless there is a binary point, with say 8 bits after it, then 231 would be 1110 0111 . 0000 0000).
How many 3 digit ascending numbers?
There are 84 such numbers.
Why 1 byte equals to 8 bits?
Because 1 byte is defined [now] to be 8 bits.Digital computers use binary memory locations, ie each memory location can hold one of two values: 0 or 1, as each state is easily representable by whether an electrical charge/voltage exists or not.However, using a BInary digiT, or bit for short, to represent data is not very useful as there are only the two possible data items: 0 and 1. However, by combining more binary digits together into a single unit, more data can be represented in each unit:Using 1 bit only 2 numbers can be represented: 0 & 1Using 2 bits, 4 numbers can be represented: 0, 1, 2 & 3Using 3 bits, 8 numbers can be represented: 0, 1, 2, 3, 4, 5, 6 & 7Using 4 bits, 16 numbers can be represented: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 & 15And so on, every additional bit doubling the quantity of numbers that can be represented.Using 8-bit storage units, two decimal digits can be stored (quite efficiently); this is Binary Coded Decimal (BCD). 8-bit computers became popular (with the manufacturers) probably due to BCD storing two decimal digits in a single unit. I don't know the entymology fully, but I guess that back in the 1950s they needed a term to describe this 8-bit storage unit and either considered it an extended bit (bitE) or as there were eight bits, bit-eight abbreviated to bite. However, it would be very easy to mis- read or write this, so it was deliberately misspelled with a 'y' instead of the 'i': byte.Early microprocessor digital computers used 4 bit units, so that in one storage unit one of 16 different numbers could be stored: 0-9 (the decimal numbers ) and a further 6 numbers (10-15, often represented by the hexadecimal "digits" A-F).When wanting a word to describe the 4-bit storage, the term nybble (nibble spelt with a 'y' - to match bite with a 'y') was probably coined as a pun on taking 2 nibbles of something (eg a piece of cake) and getting a bite out of it.
