What is 99 in base seven?

Answer 1

See what is the highest power of seven that fits, then divide. 99 / 49 = 2, remainder 1.

Now divide whatever is left by the next-lower power of seven. 1 / 7 = 0, remainder 1.

Divide the remainder by the next-lower power of seven, which is 1: 1 / 1 = 1, remainder 0.

Combine the partial results (the numbers in bold), to get the number in base seven: 201.

See what is the highest power of seven that fits, then divide. 99 / 49 = 2, remainder 1.

Now divide whatever is left by the next-lower power of seven. 1 / 7 = 0, remainder 1.

Divide the remainder by the next-lower power of seven, which is 1: 1 / 1 = 1, remainder 0.

Combine the partial results (the numbers in bold), to get the number in base seven: 201.

See what is the highest power of seven that fits, then divide. 99 / 49 = 2, remainder 1.

Now divide whatever is left by the next-lower power of seven. 1 / 7 = 0, remainder 1.

Divide the remainder by the next-lower power of seven, which is 1: 1 / 1 = 1, remainder 0.

Combine the partial results (the numbers in bold), to get the number in base seven: 201.

See what is the highest power of seven that fits, then divide. 99 / 49 = 2, remainder 1.

Now divide whatever is left by the next-lower power of seven. 1 / 7 = 0, remainder 1.

Divide the remainder by the next-lower power of seven, which is 1: 1 / 1 = 1, remainder 0.

Combine the partial results (the numbers in bold), to get the number in base seven: 201.

Answer 2

See what is the highest power of seven that fits, then divide. 99 / 49 = 2, remainder 1.

Now divide whatever is left by the next-lower power of seven. 1 / 7 = 0, remainder 1.

Divide the remainder by the next-lower power of seven, which is 1: 1 / 1 = 1, remainder 0.

Combine the partial results (the numbers in bold), to get the number in base seven: 201.