Question

Write 87 tens and 2 ones as a base- ten number

Answer 1

Question:

Convert (87)₁₀ into a base 2 number.

Answer:

(87)₁₀ = (1010111)₂

Step-by-step explanation:

2 | 87

2 | 43 [ remainder = 1 ]

2 | 21 [ remainder = 1 ]

2 | 10 [ remainder = 1 ]

2 | 5 [ remainder = 0 ]

2 | 2 [ remainder = 1 ]

2 | 1 [ remainder = 0 ]

Therefore (87)₁₀ = (1010111)₂

Explanation:

• Take any base 10 number.
• Divide it by 2.
• If there's any remainder 1, write it as remainder = 1 and if not, write it as remainder = 0 on the right hand side.
• Keep going like this till there's only 1 left.
• Take the digits 1 and 0 from the very end to its very beginning in remainders.
• You get the base 10 number in base 2.