Question
Download Solution PDFThe decimal equivalent of a binary number 1001110 is:
This question was previously asked in
KVS TGT WET (Work Experience Teacher) Official Paper
Answer (Detailed Solution Below)
Option 3 : 78
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Detailed Solution
Download Solution PDFConvert binary to decimal :-
- For binary number with n digits:
- dn-1 ... d3 d2 d1 d0
- The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
- decimal = d0×20 + d1×21 + d2×22 + ...
Calculation:
Decimal equivalent of binary number 1001110 :-
= 1 × 26 + 0 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 1 x 21 + 0 x 20
= 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78
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