Transfer 0010010111110101 from binary in hexadecimal number system

This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

Fill in the number with missing zeros on the left

let\'s do a direct translation from binary to hexadecimal like this:

0010010111110101₂ = 0010 0101 1111 0101 = 0010₍₌₂₎ 0101₍₌₅₎ 1111_(=F) 0101₍₌₅₎ = 25F5₁₆

the Final answer: 0010010111110101₂ = 25F5₁₆

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

0∙2¹⁵+0∙2¹⁴+1∙2¹³+0∙2¹²+0∙2¹¹+1∙2¹⁰+0∙2⁹+1∙2⁸+1∙2⁷+1∙2⁶+1∙2⁵+1∙2⁴+0∙2³+1∙2²+0∙2¹+1∙2⁰ = 0∙32768+0∙16384+1∙8192+0∙4096+0∙2048+1∙1024+0∙512+1∙256+1∙128+1∙64+1∙32+1∙16+0∙8+1∙4+0∙2+1∙1 = 0+0+8192+0+0+1024+0+256+128+64+32+16+0+4+0+1 = 9717₁₀

got It: 0010010111110101₂ =9717₁₀

Translate the number 9717₁₀ в hexadecimal like this:

the Integer part of the number is divided by the base of the new number system: