Question

Convert the Binary number (1110111) into decimal number. FULL METHOD

Answer 1

Answer:

(1110111)2 = (119)10

Step by step solution

Step 1: Write down the binary number:

1110111

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x26 + 1x25 + 1x24 + 0x23 + 1x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x64 + 1x32 + 1x16 + 0x8 + 1x4 + 1x2 + 1x1 = 64 + 32 + 16 + 0 + 4 + 2 + 1

Step 4: Add up the numbers written above:

64 + 32 + 16 + 0 + 4 + 2 + 1 = 119.

So, 119 is the decimal equivalent of the binary number 1110111.

Answer 2

Answer:

119

Explanation:

11101112 in Binary number system and want to translate it into Decimal.

To do this, at first translate it to decimal here so :

1110111= 1∙26+1∙25+1∙24+0∙23+1∙22+1∙21+1∙20 = 64+32+16+0+4+2+1 = 11910

Happened: 11910

Result of converting:

1110111= 119