Question

Binary to decimal (11100111)2​

Answer 1

Answer:

231

Explanation:

11100111

$1*2^{7} +1*2^{6}+1*2^{5}+0*2^{4}+0*2^{3}+1*2^{2}+1*2^{1}+1*2^{0}\\= 128 + 64 + 32 + 0 + 0 + 4 + 2 + 1\\= 231$

Answer 2

Answer:

$11100111_{2} = 231$

Explanation:

To convert binary number 11100111 to decimal, follow these two steps:

Start from one's place in 11100111 : multiply ones place with 2^0, tens place with 2^1, hundreds place with 2^2 and so on from right to left

Add all the product we got from step 1 to get the decimal equivalent of 11100111.

Using the above steps, here is the work involved in the solution for converting 11100111 to decimal number (Don't forget that we start from ones place to so on...)

Decimal equivalent of "1" = 1 × 2^0 = 1

Decimal equivalent of "1" = 1 × 2^1 = 2

Decimal equivalent of "1" = 1 × 2^2 = 4

Decimal equivalent of "0" = 0 × 2^3 = 0

Decimal equivalent of "0" = 0 × 2^4 = 0

Decimal equivalent of "1" = 1 × 2^5 = 32

Decimal equivalent of "1" = 1 × 2^6 = 64

Decimal equivalent of "1" = 1 × 2^7 = 128

Decimal equivalent of "11100111" = 128+64+32+0+0+4+2+1

11100111 = 231

Here is the final answer, The binary number 11100111 converted to decimal is therefore equal to:

$231$

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